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Finding the Fourth Proportional to 182.62, 252.17 and 162.15

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Solution

The fourth proportional to 182.62, 252.17 and 162.15 is: 223.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.62 : 252.17 = 162.15 : x
  2. Step 2: Convert to fraction form
    182.62/252.17 = 162.15/x
  3. Step 3: Cross multiply
    182.62x = 252.17 × 162.15
  4. Step 4: Simplify right side
    182.62x = 40,889.37
  5. Step 5: Solve for x
    x = 40,889.37/182.62
  6. Step 6: Final answer
    x = 223.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.